首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 109 毫秒
1.
罗小华 《中国物理 B》2009,18(8):3304-3308
Based on the three-dimensional Liu system with a nonlinear term of square,this paper appends a state variable to the system,and further adds a driving signal of the sine signal to construct a novel 4-demensional nonautonomous hyperchaotic Liu system.The appended variable is formed by the product of the nonlinear quadratic term of the original state variables and the driving signal.Through adjusting the frequency of the driving signal,the system can be controlled to show some different dynamic behaviors.By numerical simulations,the Lyapunov exponent spectrums,bifurcation diagrams and phase diagrams of the novel systems are analyzed.Furthermore,the corresponding hardware circuits are implemented.Both the experimental results and the simulation results confirm that the method is feasible.The method,which adjusts the frequency of the input sine signal to control the system to show different dynamic behaviors,can make the dynamic property of the system become more complex,but easier to be controlled accurately as well.  相似文献   

2.
贾立新  戴浩  惠萌 《中国物理 B》2010,19(10):100501-100501
Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh-Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method.  相似文献   

3.
汪浩祥  蔡国梁  缪盛  田立新 《中国物理 B》2010,19(3):30509-030509
This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system.Some of its basic dynamical properties,such as the hyperchaotic attractor,Lyapunov exponents,bifurcation diagram and the hyperchaotic attractor evolving into periodic,quasi-periodic dynamical behaviours by varying parameter k are studied.An effective nonlinear feedback control method is used to suppress hyperchaos to unstable equilibrium.Furthermore,a circuit is designed to realize this new hyperchaotic system by electronic workbench(EWB).Numerical simulations are presented to show these results.  相似文献   

4.
A new hyperchaotic system and its linear feedback control   总被引:1,自引:0,他引:1       下载免费PDF全文
蔡国梁  郑松  田立新 《中国物理 B》2008,17(11):4039-4046
This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k. Furthermore, effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.  相似文献   

5.
王爱元  凌志浩 《中国物理 B》2010,19(7):70506-070506
This paper reports a new three-dimensional autonomous chaotic system.It contains six control parameters and three nonlinear terms.Two cross-product terms are respectively in two equations.And one square term is in the third equation.Basic dynamic properties of the new system are investigated by means of theoretical analysis,numerical simulation,sensitivity to initial,power spectrum,Lyapunov exponent,and Poincar’e diagrams.The dynamic properties affected by variable parameters are also analysed.Finally,the chaotic system is simulated by circuit.The results verify the existence and implementation of the system.  相似文献   

6.
张若洵  杨世平 《中国物理 B》2010,19(2):20510-020510
A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.  相似文献   

7.
贾飞蕾  徐伟  都琳 《中国物理》2007,16(11):3249-3255
In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employing a combination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between these noise-perturbed systems with unknown parameters are established. The model used in the research is the chaotic system, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed RSssler system, hyperchaotic Chen system and nolse-perturbed hyperchaotic RSssler system are taken for illustrative examples to demonstrate this technique.[第一段]  相似文献   

8.
王杰智  陈增强  袁著祉 《中国物理》2006,15(6):1216-1225
This paper reports a new four-dimensional hyperchaotic system obtained by adding a controller to a threedimensional autonomous chaotic system. The new system has two parameters, and each equation of the system has one quadratic cross-product term. Some basic properties of the new system are analysed. The different dynamic behaviours of the new system are studied when the system parameter a or b is varied. The system is hyperchaotic in several different regions of the parameter b. Especially, the two positive Lyapunov exponents are both larger, and the hyperchaotic region is also larger when this system is hyperchaotic in the case of varying a. The hyperchaotic system is analysed by Lyapunov-exponents spectrum, bifurcation diagrams and Poincaré sections.  相似文献   

9.
高秉建  陆君安 《中国物理》2007,16(3):666-670
This paper presents a novel adaptive control scheme for synchronization of the latest hyperchaotic Lü system. Based on the Lyapunov stability theory, a feedback controller and a parameter update law are designed for the synchronization of hyperchaotic Lfi systems with uncertainty. Numerical simulations are given to demonstrate the validity of the synchronization technique.  相似文献   

10.
高秉建  陆君安 《中国物理》2007,16(3):66-670
This paper presents a novel adaptive control scheme for synchronization of the latest hyperchaotic Lü system. Based on the Lyapunov stability theory, a feedback controller and a parameter update law are designed for the synchronization of hyperchaotic Lfi systems with uncertainty. Numerical simulations are given to demonstrate the validity of the synchronization technique.  相似文献   

11.
分数阶混沌系统的异结构同步   总被引:1,自引:0,他引:1       下载免费PDF全文
张若洵  杨世平 《物理学报》2008,57(11):6852-6858
基于分数阶线性系统稳定性理论,结合反馈控制和主动控制方法,提出了一种分数阶混沌系统异结构同步方法,给出了同步控制器解析式. 以分数阶Chen混沌系统和分数阶Liu混沌系统、分数阶新超混沌系统和分数阶超混沌Rssler系统的异结构同步为例, 进行了数值模拟,证实了该方法的有效性和可行性. 关键词: 分数阶混沌 异结构混沌同步 新超混沌系统 超混沌Rssler系统  相似文献   

12.
Hyperchaos evolved from the Liu chaotic system   总被引:7,自引:0,他引:7       下载免费PDF全文
王发强  刘崇新 《中国物理》2006,15(5):963-968
This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.  相似文献   

13.
Liu混沌系统的非线性反馈同步控制   总被引:48,自引:0,他引:48       下载免费PDF全文
陈志盛  孙克辉  张泰山 《物理学报》2005,54(6):2580-2583
研究了新型混沌系统——Liu系统的同步控制问题.基于Lyapunov稳定性理论,采用非线性反馈控制方法,给出了Liu系统实现自同步的充分条件以及控制律参数的取值范围;结合参数自适应控制方法,实现了Liu混沌系统与统一混沌系统的异结构系统快速同步.数值仿真证明了该方法的有效性. 关键词: Liu混沌系统 混沌同步 非线性反馈控制 参数自适应控制  相似文献   

14.
分数阶Liu混沌系统及其电路实验的研究与控制   总被引:1,自引:0,他引:1       下载免费PDF全文
基于波特图的频域近似方法,研究了分数阶Liu混沌系统,并设计了一种树形电路单元来实现分数阶Liu混沌系统,通过对2.7阶Liu混沌系统的电路仿真和实验,以及α=0.8—0.1(步长0.1)Liu混沌系统的电路仿真,验证了树形电路单元的有效性,证实分数阶Liu混沌系统中确实存在混沌现象,且存在混沌的最低阶数为0.3. 设计简单有效的线性反馈控制器,实现了分数阶Liu混沌系统的混沌控制. 关键词: 分数阶Liu系统 电路实验 混沌控制  相似文献   

15.
This Letter presents a new hyperchaotic system by introducing an additional state feedback into a three-dimensional quadratic chaotic system. The system only has one equilibrium, but it can evolve into periodic, quasi-periodic, chaotic and hyperchaotic dynamical behaviors. Basic bifurcation analysis of the new system is investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. We find that the new hyperchaotic system possesses two big positive Lyapunov exponents within a large range of parameters. Therefore, the new hyperchaotic system may have good application prospects.  相似文献   

16.
刘剑鸣  杨霞  高跃龙  刘福才 《物理学报》2016,65(7):70501-070501
利用三阶混沌系统构造了一种新的微弱信号检测系统——类Liu系统, 对类Liu 系统进行了深度的理论分析. 类Liu系统中, 当输入待测信号幅值大于某临界值时, 系统可达到平衡点S0, S0中系统变量x平衡于摄动力信号, 系统变量y, z收敛于零态, 且S0 对应的Lyapunov指数小于零. 通过Matlab仿真、Multisim电路仿真以及实际电路证明了类Liu系统的周期态收敛性及广域检测性, 解决了传统Duffing系统进行微弱信号检测时周期态不收敛、只能进行窄域检测等问题, 同时谱级信噪比范围仍可达-46.57 dB. 类Liu系统采用了全新的设计理念, 具有较高的实用价值, 对未来海洋物联网中的水声通信有一定参考价值.  相似文献   

17.
Realization of fractional-order Liu chaotic system by circuit   总被引:1,自引:0,他引:1       下载免费PDF全文
逯俊杰  刘崇新 《中国物理》2007,16(6):1586-1590
In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on the approximation theory of fractional-order operator, circuits are designed to simulate the fractional- order Liu system with q=0.1 - 0.9 in a step of 0.1, and an experiment has demonstrated the 2.7-order Liu system. The simulation results prove that the chaos exists indeed in the fractional-order Liu system with an order as low as 0.3. The experimental results prove that the fractional-order chaotic system can be realized by using hardware devices, which lays the foundation for its practical applications.  相似文献   

18.
Liu混沌系统的线性反馈同步控制及电路实验的研究   总被引:2,自引:0,他引:2       下载免费PDF全文
王发强  刘崇新 《物理学报》2006,55(10):5055-5060
研究了新型混沌系统——Liu混沌系统的同步控制问题,基于Liu混沌系统的混沌特性,采用线性反馈控制方法,给出了实现Liu混沌系统同步的控制参数取值范围,数值仿真和电路实验证实了该方法的有效性. 关键词: Liu混沌系统 线性反馈控制 混沌同步 电路  相似文献   

19.
Even if complete synchronization between two chaotic circuits can be reached only when the systems are identical, in this paper we address the robustness of synchronization in the presence of parameter mismatches between the coupled circuits in the case of hyperchaotic behavior. In particular, a master–slave scheme based on negative feedback [T. Kapitaniak, Synchronization of chaos using continuous control, Phys. Rev. E 50 (1994) 1642–1644] is considered and the strategy to design the slave system as an observer of the master is given. With the proposed approach, based on the concept of the Master Stability Function, the two circuits are coupled through a unique scalar signal. Experimental results obtained from two hyperchaotic circuits will be presented in order to show that synchronization occurs widely in the range of electronic component tolerances.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号